WARM – UP As an employee of Pizza Hut, your boss has put you in charge of determining the likeability of a New kind of Pizza. Using the 6 W’s, how would you precede? Be detailed!!!
Who, What, Why, When, Where, and HoW. WARM – UP Your boss has put you in charge of developing a new version of the popular video game “HALO” Describe The W’s of Data Collection and Analysis : Who, What, Why, When, Where, and HoW.
Chapter 3 Categorical Data To analyze categorical data we use the Counts or Percents of individuals that fall in the various categories. This is usually done in a Two-Way Table or a Contingency Table. Example: In a December of 2012 report, the US Census Bureau listed the levels of educational attainment for Americans over 65. Construct a Bar Chart, A Relative Frequency Bar Chart, and a Pie Graph. Education Level Count (Thousands) No HS Diploma 9,945 HS but no College 11,701 Some College 4,481 2-yr Degree 1,390 4-yr Degree 3,133 Masters Degree 1,213 Ph.D 757 32,620
BAR CHART Relative Frequency = Percents Relative Frequency Frequency 12000— 11000— 10000— 9000— 8000— 7000— 6000— 5000— 4000— 3000— 2000— 1000— 0— Education Level Count (Thousands) No HS Diploma 9,945 HS but no College 11,701 Some College 4,481 2-yr Degree 1,390 4-yr Degree 3,133 Masters Degree 1,213 Ph.D 757 36 %— 33 %— 30 %— 27 %— 24 %— 21 %— 18 %— 15 %— 12 %— 9 %— 6 %— 3 %— 30.5 % 35.9 % 13.7 % 4.3 % 9.6 % 3.7 % 2.3 % 32,620 Frequency Relative Frequency Ed. Level No H.S. H.S. No College Some College 2-yr Degree 4-yr Degree Masters Degree Ph. D Relative Frequency = Percents
PIE GRAPH Ph. D Masters No HS 4-yr 2-yr Some College HS No College Education Level Count (Thousands) No HS Diploma 9,945 HS but no College 11,701 Some College 4,481 2-yr Degree 1,390 4-yr Degree 3,133 Masters Degree 1,213 Ph.D 757 30.5 % 35.9 % 13.7 % 4.3 % 9.6 % 3.7 % 2.3 % Ph. D Masters No HS 4-yr 2-yr Some College HS No College
Conditional Distributions EXAMPLE: Is there a relationship between a particular sport and winning at home during home games? Basketball Baseball Hockey Football Home Win 127 53 50 57 Home Loss 71 47 43 42 287 203 198 100 93 99 490 64.1% 53.0% 53.7% 57.6% The Marginal Distributions are the row and column totals. The Explanatory variable is the Variable we USE to answer the question The Response variable is the Variable we MEASURE. 1. What are the explanatory and response variables? 2. What percent of these sport games win at home? 3. Among each sport what percent of home games resulted in wins? Exp. = Sport Resp. = Win/Loss 58.6%
HW page 36 5-11 odd Of the 1,755 qualified applicants for the Houston ISD magnet schools program. 53% were accepted, 17% were wait-listed, and the other 30% were turned away for lack of space. Decision Count Accepted 931 Wait-listed 298 Turned Away 526 53 % 17 % 30 %
BAR CHART 100— 50--- 0— % Accepted Wait-listed Turned Away Decision
BAR CHART 100— 90— 80— 70— 60— 50— 40— 30— 20— 10— 0— % of Home Game Wins Basketball Baseball Hockey Football SPORT Is there a relationship between a particular sport and home field advantage? Explain.